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Finding the Third Proportional to 180,554.25 and 390,018

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Solution

The third proportional to 180,554.25 and 390,018 is: 842,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,554.25 : 390,018 = 390,018 : x
  2. Step 2: Convert to fraction form
    180,554.25/390,018 = 390,018/x
  3. Step 3: Cross multiply
    180,554.25x = 390,018 × 390,018
  4. Step 4: Simplify right side
    180,554.25x = 152,114,040,324
  5. Step 5: Solve for x
    x = 152,114,040,324/180,554.25
  6. Step 6: Final answer
    x = 842,483.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.